Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Kalmes, T.

关键词: Hypercyclicity;    Mixing;    Transitivity;    Cosine operator functions;   

DOI  :  10.1016/j.jmaa.2009.10.063

来源: Elsevier

【 摘 要 】

For Omega subset of R(d) open, we characterize when cosine operator functions generated by second order partial differential operators on L(p) (Omega, mu) and C(0,rho) (Omega). respectively, are hypercyclic and prove that this happens if and only if they are weakly mixing. In the case of d = 1 we give an easy to check characterization of when this happens. Moreover, mixing of these cosine operator functions is also characterized. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free